Vibration of a Rotating Timoshenko Beam

[+] Author and Article Information
M. W. D. White, G. R. Heppler

Department of Systems Design Engineering, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

J. Vib. Acoust 118(4), 606-613 (Oct 01, 1996) (8 pages) doi:10.1115/1.2888341 History: Received April 01, 1994; Revised June 01, 1995; Online February 26, 2008


Timoshenko beam theory is used to model a flexible slewing link with an attached payload using two different rotating frames of reference: pseudo-pinned and pseudo-clamped. The boundary conditions are presented for both formulations; these lead naturally to the frequency equation for the link. The infinite dimensional model of the slewing link is then approximated by a finite dimensional model. Finally, these two formulations are shown to be equivalent through a simple transformation.

Copyright © 1996 by The American Society of Mechanical Engineers
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